Reduction of Bundles, Connection, Curvature, and Torsion of the Centered Planes Space at Normalization
The space Π of centered m-planes is considered in projective space P n . A principal bundle is associated with the space Π and a group connection is given on the principal bundle. The connection is not uniquely induced at the normalization of the space Π . Semi-normalized spaces Π 1 , Π 2 and normal...
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ftmdpi:oai:mdpi.com:/2227-7390/7/10/901/ 2023-08-20T04:07:51+02:00 Reduction of Bundles, Connection, Curvature, and Torsion of the Centered Planes Space at Normalization Olga Belova 2019-09-26 application/pdf https://doi.org/10.3390/math7100901 EN eng Multidisciplinary Digital Publishing Institute Algebra, Geometry and Topology https://dx.doi.org/10.3390/math7100901 https://creativecommons.org/licenses/by/4.0/ Mathematics; Volume 7; Issue 10; Pages: 901 differentiable manifold Cartan–Laptev method space of centered planes normalization reduction connection Text 2019 ftmdpi https://doi.org/10.3390/math7100901 2023-07-31T22:38:46Z The space Π of centered m-planes is considered in projective space P n . A principal bundle is associated with the space Π and a group connection is given on the principal bundle. The connection is not uniquely induced at the normalization of the space Π . Semi-normalized spaces Π 1 , Π 2 and normalized space Π 1 , 2 are investigated. By virtue of the Cartan–Laptev method, the dynamics of changes of corresponding bundles, group connection objects, curvature and torsion of the connections are discovered at a transition from the space Π to the normalized space Π 1 , 2 . Text laptev MDPI Open Access Publishing Mathematics 7 10 901 |
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Open Polar |
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MDPI Open Access Publishing |
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ftmdpi |
language |
English |
topic |
differentiable manifold Cartan–Laptev method space of centered planes normalization reduction connection |
spellingShingle |
differentiable manifold Cartan–Laptev method space of centered planes normalization reduction connection Olga Belova Reduction of Bundles, Connection, Curvature, and Torsion of the Centered Planes Space at Normalization |
topic_facet |
differentiable manifold Cartan–Laptev method space of centered planes normalization reduction connection |
description |
The space Π of centered m-planes is considered in projective space P n . A principal bundle is associated with the space Π and a group connection is given on the principal bundle. The connection is not uniquely induced at the normalization of the space Π . Semi-normalized spaces Π 1 , Π 2 and normalized space Π 1 , 2 are investigated. By virtue of the Cartan–Laptev method, the dynamics of changes of corresponding bundles, group connection objects, curvature and torsion of the connections are discovered at a transition from the space Π to the normalized space Π 1 , 2 . |
format |
Text |
author |
Olga Belova |
author_facet |
Olga Belova |
author_sort |
Olga Belova |
title |
Reduction of Bundles, Connection, Curvature, and Torsion of the Centered Planes Space at Normalization |
title_short |
Reduction of Bundles, Connection, Curvature, and Torsion of the Centered Planes Space at Normalization |
title_full |
Reduction of Bundles, Connection, Curvature, and Torsion of the Centered Planes Space at Normalization |
title_fullStr |
Reduction of Bundles, Connection, Curvature, and Torsion of the Centered Planes Space at Normalization |
title_full_unstemmed |
Reduction of Bundles, Connection, Curvature, and Torsion of the Centered Planes Space at Normalization |
title_sort |
reduction of bundles, connection, curvature, and torsion of the centered planes space at normalization |
publisher |
Multidisciplinary Digital Publishing Institute |
publishDate |
2019 |
url |
https://doi.org/10.3390/math7100901 |
genre |
laptev |
genre_facet |
laptev |
op_source |
Mathematics; Volume 7; Issue 10; Pages: 901 |
op_relation |
Algebra, Geometry and Topology https://dx.doi.org/10.3390/math7100901 |
op_rights |
https://creativecommons.org/licenses/by/4.0/ |
op_doi |
https://doi.org/10.3390/math7100901 |
container_title |
Mathematics |
container_volume |
7 |
container_issue |
10 |
container_start_page |
901 |
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1774719766402957312 |